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Finding the Fourth Proportional to 51,401, 77,102.86 and 16,340.64

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Solution

The fourth proportional to 51,401, 77,102.86 and 16,340.64 is: 24,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,401 : 77,102.86 = 16,340.64 : x
  2. Step 2: Convert to fraction form
    51,401/77,102.86 = 16,340.64/x
  3. Step 3: Cross multiply
    51,401x = 77,102.86 × 16,340.64
  4. Step 4: Simplify right side
    51,401x = 1,259,910,078.23
  5. Step 5: Solve for x
    x = 1,259,910,078.23/51,401
  6. Step 6: Final answer
    x = 24,511.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.